F 4(4) | VerlindeDB

\(\operatorname{F}_{4}(4)\): \( F_{4} \) at level \(4\)

Fusion Ring

\[ \begin{array}{llllllllllllllll} \htmlTitle{1\otimes 1}{1} & & & & & & & & & & & & & & & \\ \htmlTitle{2\otimes 1}{2} & \htmlTitle{2\otimes 2}{1 \oplus 2 \oplus 6 \oplus 7 \oplus 4} & & & & & & & & & & & & & & \\ \htmlTitle{3\otimes 1}{3} & \htmlTitle{3\otimes 2}{3 \oplus 8 \oplus 13} & \htmlTitle{3\otimes 3}{1 \oplus 3 \oplus 2 \oplus 8 \oplus 6} & & & & & & & & & & & & & \\ \htmlTitle{4\otimes 1}{4} & \htmlTitle{4\otimes 2}{2 \oplus 7 \oplus 14} & \htmlTitle{4\otimes 3}{13 \oplus 12} & \htmlTitle{4\otimes 4}{1 \oplus 6 \oplus 4 \oplus 9 \oplus 5} & & & & & & & & & & & & \\ \htmlTitle{5\otimes 1}{5} & \htmlTitle{5\otimes 2}{14 \oplus 15} & \htmlTitle{5\otimes 3}{10 \oplus 15 \oplus 5} & \htmlTitle{5\otimes 4}{4 \oplus 12 \oplus 9} & \htmlTitle{5\otimes 5}{1 \oplus 3 \oplus 6 \oplus 10 \oplus 5} & & & & & & & & & & & \\ \htmlTitle{6\otimes 1}{6} & \htmlTitle{6\otimes 2}{2 \oplus 8 \oplus 6 \oplus 7 \oplus 16 \oplus 14} & \htmlTitle{6\otimes 3}{3 \oplus 8 \oplus 6 \oplus 13 \oplus 16 \oplus 10} & \htmlTitle{6\otimes 4}{6 \oplus 7 \oplus 4 \oplus 16 \oplus 12 \oplus 9} & \htmlTitle{6\otimes 5}{6 \oplus 16 \oplus 10 \oplus 9 \oplus 15 \oplus 5} & \htmlTitle{6\otimes 6}{1 \oplus 3 \oplus 2 \oplus 8 \oplus 2\cdot6 \oplus 13 \oplus 7 \oplus 4 \oplus 2\cdot16 \oplus 12 \oplus 10 \oplus 14 \oplus 9 \oplus 15 \oplus 5} & & & & & & & & & & \\ \htmlTitle{7\otimes 1}{7} & \htmlTitle{7\otimes 2}{2 \oplus 6 \oplus 7 \oplus 4 \oplus 16 \oplus 14 \oplus 9} & \htmlTitle{7\otimes 3}{8 \oplus 13 \oplus 16 \oplus 12 \oplus 11} & \htmlTitle{7\otimes 4}{2 \oplus 6 \oplus 7 \oplus 16 \oplus 14 \oplus 15} & \htmlTitle{7\otimes 5}{7 \oplus 16 \oplus 12 \oplus 14 \oplus 11} & \htmlTitle{7\otimes 6}{2 \oplus 8 \oplus 6 \oplus 13 \oplus 2\cdot7 \oplus 4 \oplus 2\cdot16 \oplus 12 \oplus 2\cdot14 \oplus 11 \oplus 9 \oplus 15} & \htmlTitle{7\otimes 7}{1 \oplus 2 \oplus 8 \oplus 2\cdot6 \oplus 2\cdot7 \oplus 4 \oplus 2\cdot16 \oplus 12 \oplus 10 \oplus 2\cdot14 \oplus 11 \oplus 9 \oplus 15 \oplus 5} & & & & & & & & & \\ \htmlTitle{8\otimes 1}{8} & \htmlTitle{8\otimes 2}{3 \oplus 8 \oplus 6 \oplus 13 \oplus 16 \oplus 12} & \htmlTitle{8\otimes 3}{3 \oplus 2 \oplus 8 \oplus 6 \oplus 13 \oplus 7 \oplus 16} & \htmlTitle{8\otimes 4}{8 \oplus 13 \oplus 16 \oplus 14 \oplus 11} & \htmlTitle{8\otimes 5}{16 \oplus 10 \oplus 14 \oplus 11 \oplus 15} & \htmlTitle{8\otimes 6}{3 \oplus 2 \oplus 2\cdot8 \oplus 6 \oplus 2\cdot13 \oplus 7 \oplus 2\cdot16 \oplus 12 \oplus 10 \oplus 14 \oplus 11 \oplus 15} & \htmlTitle{8\otimes 7}{3 \oplus 8 \oplus 6 \oplus 2\cdot13 \oplus 7 \oplus 2\cdot16 \oplus 2\cdot12 \oplus 10 \oplus 14 \oplus 11 \oplus 9 \oplus 15} & \htmlTitle{8\otimes 8}{1 \oplus 3 \oplus 2 \oplus 2\cdot8 \oplus 2\cdot6 \oplus 2\cdot13 \oplus 7 \oplus 4 \oplus 2\cdot16 \oplus 12 \oplus 10 \oplus 14 \oplus 11 \oplus 9} & & & & & & & & \\ \htmlTitle{9\otimes 1}{9} & \htmlTitle{9\otimes 2}{7 \oplus 16 \oplus 14 \oplus 11 \oplus 15} & \htmlTitle{9\otimes 3}{16 \oplus 12 \oplus 11 \oplus 9 \oplus 15} & \htmlTitle{9\otimes 4}{6 \oplus 4 \oplus 16 \oplus 12 \oplus 10 \oplus 9 \oplus 5} & \htmlTitle{9\otimes 5}{6 \oplus 13 \oplus 4 \oplus 16 \oplus 12 \oplus 9} & \htmlTitle{9\otimes 6}{6 \oplus 13 \oplus 7 \oplus 4 \oplus 2\cdot16 \oplus 2\cdot12 \oplus 10 \oplus 14 \oplus 11 \oplus 2\cdot9 \oplus 15 \oplus 5} & \htmlTitle{9\otimes 7}{2 \oplus 8 \oplus 6 \oplus 13 \oplus 7 \oplus 2\cdot16 \oplus 12 \oplus 10 \oplus 2\cdot14 \oplus 11 \oplus 9 \oplus 2\cdot15} & \htmlTitle{9\otimes 8}{8 \oplus 13 \oplus 7 \oplus 2\cdot16 \oplus 12 \oplus 10 \oplus 2\cdot14 \oplus 2\cdot11 \oplus 9 \oplus 2\cdot15} & \htmlTitle{9\otimes 9}{1 \oplus 3 \oplus 8 \oplus 2\cdot6 \oplus 13 \oplus 7 \oplus 4 \oplus 2\cdot16 \oplus 2\cdot12 \oplus 10 \oplus 11 \oplus 2\cdot9 \oplus 15 \oplus 5} & & & & & & & \\ \htmlTitle{10\otimes 1}{10} & \htmlTitle{10\otimes 2}{13 \oplus 16 \oplus 10 \oplus 11 \oplus 15} & \htmlTitle{10\otimes 3}{6 \oplus 16 \oplus 10 \oplus 14 \oplus 15 \oplus 5} & \htmlTitle{10\otimes 4}{13 \oplus 16 \oplus 12 \oplus 11 \oplus 9} & \htmlTitle{10\otimes 5}{3 \oplus 8 \oplus 6 \oplus 16 \oplus 10 \oplus 15 \oplus 5} & \htmlTitle{10\otimes 6}{3 \oplus 8 \oplus 6 \oplus 13 \oplus 2\cdot16 \oplus 12 \oplus 2\cdot10 \oplus 14 \oplus 11 \oplus 9 \oplus 2\cdot15 \oplus 5} & \htmlTitle{10\otimes 7}{8 \oplus 2\cdot13 \oplus 7 \oplus 2\cdot16 \oplus 2\cdot12 \oplus 10 \oplus 14 \oplus 2\cdot11 \oplus 9 \oplus 15} & \htmlTitle{10\otimes 8}{8 \oplus 6 \oplus 13 \oplus 7 \oplus 2\cdot16 \oplus 12 \oplus 10 \oplus 2\cdot14 \oplus 11 \oplus 9 \oplus 2\cdot15 \oplus 5} & \htmlTitle{10\otimes 9}{8 \oplus 6 \oplus 2\cdot13 \oplus 7 \oplus 4 \oplus 2\cdot16 \oplus 2\cdot12 \oplus 10 \oplus 14 \oplus 11 \oplus 9 \oplus 15} & \htmlTitle{10\otimes 10}{1 \oplus 3 \oplus 2 \oplus 8 \oplus 2\cdot6 \oplus 13 \oplus 7 \oplus 2\cdot16 \oplus 2\cdot10 \oplus 14 \oplus 11 \oplus 9 \oplus 2\cdot15 \oplus 5} & & & & & & \\ \htmlTitle{11\otimes 1}{11} & \htmlTitle{11\otimes 2}{13 \oplus 16 \oplus 12 \oplus 10 \oplus 11 \oplus 9 \oplus 15} & \htmlTitle{11\otimes 3}{7 \oplus 16 \oplus 12 \oplus 14 \oplus 11 \oplus 9 \oplus 15} & \htmlTitle{11\otimes 4}{8 \oplus 13 \oplus 16 \oplus 10 \oplus 14 \oplus 11 \oplus 15} & \htmlTitle{11\otimes 5}{8 \oplus 13 \oplus 7 \oplus 16 \oplus 12 \oplus 14 \oplus 11} & \htmlTitle{11\otimes 6}{8 \oplus 2\cdot13 \oplus 7 \oplus 3\cdot16 \oplus 2\cdot12 \oplus 10 \oplus 2\cdot14 \oplus 2\cdot11 \oplus 9 \oplus 2\cdot15} & \htmlTitle{11\otimes 7}{3 \oplus 8 \oplus 6 \oplus 2\cdot13 \oplus 7 \oplus 3\cdot16 \oplus 2\cdot12 \oplus 2\cdot10 \oplus 14 \oplus 2\cdot11 \oplus 9 \oplus 2\cdot15 \oplus 5} & \htmlTitle{11\otimes 8}{8 \oplus 6 \oplus 13 \oplus 7 \oplus 4 \oplus 3\cdot16 \oplus 2\cdot12 \oplus 10 \oplus 2\cdot14 \oplus 2\cdot11 \oplus 2\cdot9 \oplus 2\cdot15 \oplus 5} & \htmlTitle{11\otimes 9}{3 \oplus 2 \oplus 2\cdot8 \oplus 6 \oplus 2\cdot13 \oplus 7 \oplus 3\cdot16 \oplus 12 \oplus 10 \oplus 2\cdot14 \oplus 2\cdot11 \oplus 9 \oplus 2\cdot15} & \htmlTitle{11\otimes 10}{2 \oplus 8 \oplus 6 \oplus 2\cdot13 \oplus 2\cdot7 \oplus 4 \oplus 3\cdot16 \oplus 2\cdot12 \oplus 10 \oplus 2\cdot14 \oplus 2\cdot11 \oplus 9 \oplus 15} & \htmlTitle{11\otimes 11}{1 \oplus 3 \oplus 2 \oplus 2\cdot8 \oplus 2\cdot6 \oplus 2\cdot13 \oplus 2\cdot7 \oplus 4 \oplus 4\cdot16 \oplus 2\cdot12 \oplus 2\cdot10 \oplus 2\cdot14 \oplus 2\cdot11 \oplus 2\cdot9 \oplus 2\cdot15 \oplus 5} & & & & & \\ \htmlTitle{12\otimes 1}{12} & \htmlTitle{12\otimes 2}{8 \oplus 13 \oplus 16 \oplus 12 \oplus 14 \oplus 11 \oplus 15} & \htmlTitle{12\otimes 3}{13 \oplus 7 \oplus 4 \oplus 16 \oplus 12 \oplus 14 \oplus 11 \oplus 9} & \htmlTitle{12\otimes 4}{3 \oplus 6 \oplus 13 \oplus 16 \oplus 12 \oplus 10 \oplus 9 \oplus 15 \oplus 5} & \htmlTitle{12\otimes 5}{13 \oplus 7 \oplus 4 \oplus 16 \oplus 2\cdot12 \oplus 11 \oplus 9} & \htmlTitle{12\otimes 6}{8 \oplus 6 \oplus 2\cdot13 \oplus 7 \oplus 4 \oplus 3\cdot16 \oplus 3\cdot12 \oplus 10 \oplus 14 \oplus 2\cdot11 \oplus 2\cdot9 \oplus 15} & \htmlTitle{12\otimes 7}{3 \oplus 2\cdot8 \oplus 6 \oplus 2\cdot13 \oplus 7 \oplus 3\cdot16 \oplus 12 \oplus 2\cdot10 \oplus 2\cdot14 \oplus 2\cdot11 \oplus 9 \oplus 2\cdot15 \oplus 5} & \htmlTitle{12\otimes 8}{2 \oplus 8 \oplus 6 \oplus 2\cdot13 \oplus 2\cdot7 \oplus 3\cdot16 \oplus 2\cdot12 \oplus 10 \oplus 2\cdot14 \oplus 2\cdot11 \oplus 9 \oplus 2\cdot15} & \htmlTitle{12\otimes 9}{3 \oplus 8 \oplus 2\cdot6 \oplus 2\cdot13 \oplus 7 \oplus 4 \oplus 3\cdot16 \oplus 2\cdot12 \oplus 2\cdot10 \oplus 14 \oplus 11 \oplus 2\cdot9 \oplus 2\cdot15 \oplus 5} & \htmlTitle{12\otimes 10}{8 \oplus 6 \oplus 2\cdot13 \oplus 2\cdot7 \oplus 4 \oplus 3\cdot16 \oplus 3\cdot12 \oplus 2\cdot14 \oplus 2\cdot11 \oplus 2\cdot9 \oplus 15} & \htmlTitle{12\otimes 11}{3 \oplus 2 \oplus 2\cdot8 \oplus 2\cdot6 \oplus 2\cdot13 \oplus 2\cdot7 \oplus 4\cdot16 \oplus 2\cdot12 \oplus 2\cdot10 \oplus 3\cdot14 \oplus 2\cdot11 \oplus 9 \oplus 3\cdot15 \oplus 5} & \htmlTitle{12\otimes 12}{1 \oplus 3 \oplus 2 \oplus 2\cdot8 \oplus 3\cdot6 \oplus 2\cdot13 \oplus 7 \oplus 4 \oplus 4\cdot16 \oplus 2\cdot12 \oplus 3\cdot10 \oplus 2\cdot14 \oplus 2\cdot11 \oplus 2\cdot9 \oplus 3\cdot15 \oplus 2\cdot5} & & & & \\ \htmlTitle{13\otimes 1}{13} & \htmlTitle{13\otimes 2}{3 \oplus 8 \oplus 2\cdot13 \oplus 16 \oplus 12 \oplus 10 \oplus 11} & \htmlTitle{13\otimes 3}{2 \oplus 8 \oplus 6 \oplus 13 \oplus 7 \oplus 4 \oplus 16 \oplus 12 \oplus 14} & \htmlTitle{13\otimes 4}{3 \oplus 8 \oplus 13 \oplus 16 \oplus 12 \oplus 10 \oplus 11 \oplus 15} & \htmlTitle{13\otimes 5}{13 \oplus 16 \oplus 12 \oplus 14 \oplus 11 \oplus 9 \oplus 15} & \htmlTitle{13\otimes 6}{3 \oplus 2\cdot8 \oplus 6 \oplus 3\cdot13 \oplus 7 \oplus 3\cdot16 \oplus 2\cdot12 \oplus 10 \oplus 14 \oplus 2\cdot11 \oplus 9 \oplus 15} & \htmlTitle{13\otimes 7}{3 \oplus 2\cdot8 \oplus 6 \oplus 3\cdot13 \oplus 3\cdot16 \oplus 2\cdot12 \oplus 2\cdot10 \oplus 14 \oplus 2\cdot11 \oplus 9 \oplus 2\cdot15} & \htmlTitle{13\otimes 8}{3 \oplus 2 \oplus 2\cdot8 \oplus 2\cdot6 \oplus 2\cdot13 \oplus 2\cdot7 \oplus 4 \oplus 3\cdot16 \oplus 2\cdot12 \oplus 10 \oplus 2\cdot14 \oplus 11 \oplus 9 \oplus 15} & \htmlTitle{13\otimes 9}{8 \oplus 6 \oplus 2\cdot13 \oplus 7 \oplus 3\cdot16 \oplus 2\cdot12 \oplus 2\cdot10 \oplus 2\cdot14 \oplus 2\cdot11 \oplus 9 \oplus 2\cdot15 \oplus 5} & \htmlTitle{13\otimes 10}{2 \oplus 8 \oplus 6 \oplus 13 \oplus 2\cdot7 \oplus 4 \oplus 3\cdot16 \oplus 2\cdot12 \oplus 10 \oplus 2\cdot14 \oplus 2\cdot11 \oplus 2\cdot9 \oplus 2\cdot15} & \htmlTitle{13\otimes 11}{2 \oplus 8 \oplus 2\cdot6 \oplus 2\cdot13 \oplus 2\cdot7 \oplus 4 \oplus 4\cdot16 \oplus 2\cdot12 \oplus 2\cdot10 \oplus 3\cdot14 \oplus 2\cdot11 \oplus 2\cdot9 \oplus 3\cdot15 \oplus 5} & \htmlTitle{13\otimes 12}{3 \oplus 2 \oplus 2\cdot8 \oplus 2\cdot6 \oplus 2\cdot13 \oplus 2\cdot7 \oplus 4 \oplus 4\cdot16 \oplus 2\cdot12 \oplus 2\cdot10 \oplus 3\cdot14 \oplus 2\cdot11 \oplus 2\cdot9 \oplus 3\cdot15 \oplus 5} & \htmlTitle{13\otimes 13}{1 \oplus 3 \oplus 2\cdot2 \oplus 2\cdot8 \oplus 3\cdot6 \oplus 2\cdot13 \oplus 3\cdot7 \oplus 4 \oplus 4\cdot16 \oplus 2\cdot12 \oplus 10 \oplus 3\cdot14 \oplus 2\cdot11 \oplus 2\cdot9 \oplus 2\cdot15 \oplus 5} & & & \\ \htmlTitle{14\otimes 1}{14} & \htmlTitle{14\otimes 2}{6 \oplus 7 \oplus 4 \oplus 16 \oplus 12 \oplus 14 \oplus 9 \oplus 15 \oplus 5} & \htmlTitle{14\otimes 3}{13 \oplus 16 \oplus 12 \oplus 10 \oplus 14 \oplus 11 \oplus 15} & \htmlTitle{14\otimes 4}{2 \oplus 8 \oplus 7 \oplus 16 \oplus 2\cdot14 \oplus 11 \oplus 15} & \htmlTitle{14\otimes 5}{2 \oplus 8 \oplus 13 \oplus 7 \oplus 16 \oplus 14 \oplus 11 \oplus 15} & \htmlTitle{14\otimes 6}{2 \oplus 8 \oplus 6 \oplus 13 \oplus 2\cdot7 \oplus 3\cdot16 \oplus 12 \oplus 10 \oplus 3\cdot14 \oplus 2\cdot11 \oplus 9 \oplus 2\cdot15} & \htmlTitle{14\otimes 7}{2 \oplus 8 \oplus 2\cdot6 \oplus 13 \oplus 2\cdot7 \oplus 4 \oplus 3\cdot16 \oplus 2\cdot12 \oplus 10 \oplus 2\cdot14 \oplus 11 \oplus 2\cdot9 \oplus 2\cdot15 \oplus 5} & \htmlTitle{14\otimes 8}{8 \oplus 6 \oplus 2\cdot13 \oplus 7 \oplus 4 \oplus 3\cdot16 \oplus 2\cdot12 \oplus 2\cdot10 \oplus 14 \oplus 2\cdot11 \oplus 2\cdot9 \oplus 2\cdot15 \oplus 5} & \htmlTitle{14\otimes 9}{2 \oplus 2\cdot8 \oplus 6 \oplus 2\cdot13 \oplus 2\cdot7 \oplus 3\cdot16 \oplus 12 \oplus 10 \oplus 3\cdot14 \oplus 2\cdot11 \oplus 2\cdot15} & \htmlTitle{14\otimes 10}{3 \oplus 2\cdot8 \oplus 6 \oplus 2\cdot13 \oplus 7 \oplus 3\cdot16 \oplus 2\cdot12 \oplus 10 \oplus 2\cdot14 \oplus 2\cdot11 \oplus 9 \oplus 2\cdot15} & \htmlTitle{14\otimes 11}{3 \oplus 2\cdot8 \oplus 2\cdot6 \oplus 3\cdot13 \oplus 7 \oplus 4 \oplus 4\cdot16 \oplus 3\cdot12 \oplus 2\cdot10 \oplus 2\cdot14 \oplus 2\cdot11 \oplus 2\cdot9 \oplus 2\cdot15 \oplus 5} & \htmlTitle{14\otimes 12}{3 \oplus 2 \oplus 2\cdot8 \oplus 6 \oplus 3\cdot13 \oplus 2\cdot7 \oplus 4\cdot16 \oplus 2\cdot12 \oplus 2\cdot10 \oplus 3\cdot14 \oplus 3\cdot11 \oplus 9 \oplus 3\cdot15} & \htmlTitle{14\otimes 13}{3 \oplus 2\cdot8 \oplus 6 \oplus 3\cdot13 \oplus 7 \oplus 4\cdot16 \oplus 3\cdot12 \oplus 2\cdot10 \oplus 2\cdot14 \oplus 3\cdot11 \oplus 2\cdot9 \oplus 3\cdot15 \oplus 5} & \htmlTitle{14\otimes 14}{1 \oplus 3 \oplus 2 \oplus 8 \oplus 3\cdot6 \oplus 2\cdot13 \oplus 2\cdot7 \oplus 2\cdot4 \oplus 4\cdot16 \oplus 3\cdot12 \oplus 2\cdot10 \oplus 2\cdot14 \oplus 2\cdot11 \oplus 3\cdot9 \oplus 2\cdot15 \oplus 5} & & \\ \htmlTitle{15\otimes 1}{15} & \htmlTitle{15\otimes 2}{16 \oplus 12 \oplus 10 \oplus 14 \oplus 11 \oplus 9 \oplus 15 \oplus 5} & \htmlTitle{15\otimes 3}{16 \oplus 10 \oplus 14 \oplus 11 \oplus 9 \oplus 2\cdot15 \oplus 5} & \htmlTitle{15\otimes 4}{13 \oplus 7 \oplus 16 \oplus 12 \oplus 14 \oplus 11 \oplus 15} & \htmlTitle{15\otimes 5}{3 \oplus 2 \oplus 8 \oplus 6 \oplus 13 \oplus 16 \oplus 10 \oplus 14 \oplus 15} & \htmlTitle{15\otimes 6}{8 \oplus 6 \oplus 13 \oplus 7 \oplus 3\cdot16 \oplus 12 \oplus 2\cdot10 \oplus 2\cdot14 \oplus 2\cdot11 \oplus 9 \oplus 3\cdot15 \oplus 5} & \htmlTitle{15\otimes 7}{8 \oplus 6 \oplus 2\cdot13 \oplus 7 \oplus 4 \oplus 3\cdot16 \oplus 2\cdot12 \oplus 10 \oplus 2\cdot14 \oplus 2\cdot11 \oplus 2\cdot9 \oplus 2\cdot15} & \htmlTitle{15\otimes 8}{6 \oplus 13 \oplus 7 \oplus 3\cdot16 \oplus 2\cdot12 \oplus 2\cdot10 \oplus 2\cdot14 \oplus 2\cdot11 \oplus 2\cdot9 \oplus 3\cdot15 \oplus 5} & \htmlTitle{15\otimes 9}{3 \oplus 2 \oplus 2\cdot8 \oplus 6 \oplus 2\cdot13 \oplus 2\cdot7 \oplus 3\cdot16 \oplus 2\cdot12 \oplus 10 \oplus 2\cdot14 \oplus 2\cdot11 \oplus 9 \oplus 15} & \htmlTitle{15\otimes 10}{3 \oplus 2 \oplus 2\cdot8 \oplus 2\cdot6 \oplus 2\cdot13 \oplus 7 \oplus 3\cdot16 \oplus 12 \oplus 2\cdot10 \oplus 2\cdot14 \oplus 11 \oplus 9 \oplus 2\cdot15 \oplus 5} & \htmlTitle{15\otimes 11}{3 \oplus 2 \oplus 2\cdot8 \oplus 2\cdot6 \oplus 3\cdot13 \oplus 2\cdot7 \oplus 4 \oplus 4\cdot16 \oplus 3\cdot12 \oplus 10 \oplus 2\cdot14 \oplus 2\cdot11 \oplus 2\cdot9 \oplus 2\cdot15} & \htmlTitle{15\otimes 12}{2 \oplus 2\cdot8 \oplus 6 \oplus 3\cdot13 \oplus 2\cdot7 \oplus 4 \oplus 4\cdot16 \oplus 3\cdot12 \oplus 10 \oplus 3\cdot14 \oplus 3\cdot11 \oplus 2\cdot9 \oplus 2\cdot15} & \htmlTitle{15\otimes 13}{8 \oplus 6 \oplus 2\cdot13 \oplus 2\cdot7 \oplus 4 \oplus 4\cdot16 \oplus 3\cdot12 \oplus 2\cdot10 \oplus 3\cdot14 \oplus 3\cdot11 \oplus 2\cdot9 \oplus 3\cdot15 \oplus 5} & \htmlTitle{15\otimes 14}{3 \oplus 2 \oplus 2\cdot8 \oplus 2\cdot6 \oplus 3\cdot13 \oplus 2\cdot7 \oplus 4 \oplus 4\cdot16 \oplus 3\cdot12 \oplus 2\cdot10 \oplus 2\cdot14 \oplus 2\cdot11 \oplus 2\cdot9 \oplus 2\cdot15 \oplus 5} & \htmlTitle{15\otimes 15}{1 \oplus 2\cdot3 \oplus 2 \oplus 3\cdot8 \oplus 3\cdot6 \oplus 3\cdot13 \oplus 2\cdot7 \oplus 4 \oplus 4\cdot16 \oplus 2\cdot12 \oplus 2\cdot10 \oplus 2\cdot14 \oplus 2\cdot11 \oplus 9 \oplus 2\cdot15 \oplus 5} & \\ \htmlTitle{16\otimes 1}{16} & \htmlTitle{16\otimes 2}{8 \oplus 6 \oplus 13 \oplus 7 \oplus 2\cdot16 \oplus 12 \oplus 10 \oplus 14 \oplus 11 \oplus 9 \oplus 15} & \htmlTitle{16\otimes 3}{8 \oplus 6 \oplus 13 \oplus 7 \oplus 2\cdot16 \oplus 12 \oplus 10 \oplus 14 \oplus 11 \oplus 9 \oplus 15} & \htmlTitle{16\otimes 4}{8 \oplus 6 \oplus 13 \oplus 7 \oplus 2\cdot16 \oplus 12 \oplus 10 \oplus 14 \oplus 11 \oplus 9 \oplus 15} & \htmlTitle{16\otimes 5}{8 \oplus 6 \oplus 13 \oplus 7 \oplus 2\cdot16 \oplus 12 \oplus 10 \oplus 14 \oplus 11 \oplus 9 \oplus 15} & \htmlTitle{16\otimes 6}{3 \oplus 2 \oplus 2\cdot8 \oplus 2\cdot6 \oplus 3\cdot13 \oplus 2\cdot7 \oplus 4 \oplus 4\cdot16 \oplus 3\cdot12 \oplus 2\cdot10 \oplus 3\cdot14 \oplus 3\cdot11 \oplus 2\cdot9 \oplus 3\cdot15 \oplus 5} & \htmlTitle{16\otimes 7}{3 \oplus 2 \oplus 2\cdot8 \oplus 2\cdot6 \oplus 3\cdot13 \oplus 2\cdot7 \oplus 4 \oplus 5\cdot16 \oplus 3\cdot12 \oplus 2\cdot10 \oplus 3\cdot14 \oplus 3\cdot11 \oplus 2\cdot9 \oplus 3\cdot15 \oplus 5} & \htmlTitle{16\otimes 8}{3 \oplus 2 \oplus 2\cdot8 \oplus 2\cdot6 \oplus 3\cdot13 \oplus 2\cdot7 \oplus 4 \oplus 5\cdot16 \oplus 3\cdot12 \oplus 2\cdot10 \oplus 3\cdot14 \oplus 3\cdot11 \oplus 2\cdot9 \oplus 3\cdot15 \oplus 5} & \htmlTitle{16\otimes 9}{3 \oplus 2 \oplus 2\cdot8 \oplus 2\cdot6 \oplus 3\cdot13 \oplus 2\cdot7 \oplus 4 \oplus 5\cdot16 \oplus 3\cdot12 \oplus 2\cdot10 \oplus 3\cdot14 \oplus 3\cdot11 \oplus 2\cdot9 \oplus 3\cdot15 \oplus 5} & \htmlTitle{16\otimes 10}{3 \oplus 2 \oplus 2\cdot8 \oplus 2\cdot6 \oplus 3\cdot13 \oplus 2\cdot7 \oplus 4 \oplus 5\cdot16 \oplus 3\cdot12 \oplus 2\cdot10 \oplus 3\cdot14 \oplus 3\cdot11 \oplus 2\cdot9 \oplus 3\cdot15 \oplus 5} & \htmlTitle{16\otimes 11}{3 \oplus 2 \oplus 3\cdot8 \oplus 3\cdot6 \oplus 4\cdot13 \oplus 3\cdot7 \oplus 4 \oplus 6\cdot16 \oplus 4\cdot12 \oplus 3\cdot10 \oplus 4\cdot14 \oplus 4\cdot11 \oplus 3\cdot9 \oplus 4\cdot15 \oplus 5} & \htmlTitle{16\otimes 12}{3 \oplus 2 \oplus 3\cdot8 \oplus 3\cdot6 \oplus 4\cdot13 \oplus 3\cdot7 \oplus 4 \oplus 7\cdot16 \oplus 4\cdot12 \oplus 3\cdot10 \oplus 4\cdot14 \oplus 4\cdot11 \oplus 3\cdot9 \oplus 4\cdot15 \oplus 5} & \htmlTitle{16\otimes 13}{3 \oplus 2 \oplus 3\cdot8 \oplus 3\cdot6 \oplus 4\cdot13 \oplus 3\cdot7 \oplus 4 \oplus 7\cdot16 \oplus 4\cdot12 \oplus 3\cdot10 \oplus 4\cdot14 \oplus 4\cdot11 \oplus 3\cdot9 \oplus 4\cdot15 \oplus 5} & \htmlTitle{16\otimes 14}{3 \oplus 2 \oplus 3\cdot8 \oplus 3\cdot6 \oplus 4\cdot13 \oplus 3\cdot7 \oplus 4 \oplus 7\cdot16 \oplus 4\cdot12 \oplus 3\cdot10 \oplus 4\cdot14 \oplus 4\cdot11 \oplus 3\cdot9 \oplus 4\cdot15 \oplus 5} & \htmlTitle{16\otimes 15}{3 \oplus 2 \oplus 3\cdot8 \oplus 3\cdot6 \oplus 4\cdot13 \oplus 3\cdot7 \oplus 4 \oplus 7\cdot16 \oplus 4\cdot12 \oplus 3\cdot10 \oplus 4\cdot14 \oplus 4\cdot11 \oplus 3\cdot9 \oplus 4\cdot15 \oplus 5} & \htmlTitle{16\otimes 16}{1 \oplus 2\cdot3 \oplus 2\cdot2 \oplus 5\cdot8 \oplus 4\cdot6 \oplus 7\cdot13 \oplus 5\cdot7 \oplus 2\cdot4 \oplus 10\cdot16 \oplus 7\cdot12 \oplus 5\cdot10 \oplus 7\cdot14 \oplus 6\cdot11 \oplus 5\cdot9 \oplus 7\cdot15 \oplus 2\cdot5} \\ \end{array} \]

Frobenius-Perron Dimensions

SimpleNumericSymbolic
\( 1\)\(1.000\)\( 1 \)
\( 2\)\(7.302\)\( - 4 \cos{\left(\frac{3 \pi}{13} \right)} + 4 \cos{\left(\frac{6 \pi}{13} \right)} + 4 \cos{\left(\frac{4 \pi}{13} \right)} + 4 \cos{\left(\frac{2 \pi}{13} \right)} + 4 \)
\( 3\)\(7.302\)\( - 4 \cos{\left(\frac{3 \pi}{13} \right)} + 4 \cos{\left(\frac{6 \pi}{13} \right)} + 4 \cos{\left(\frac{4 \pi}{13} \right)} + 4 \cos{\left(\frac{2 \pi}{13} \right)} + 4 \)
\( 4\)\(7.302\)\( - 4 \cos{\left(\frac{3 \pi}{13} \right)} + 4 \cos{\left(\frac{6 \pi}{13} \right)} + 4 \cos{\left(\frac{4 \pi}{13} \right)} + 4 \cos{\left(\frac{2 \pi}{13} \right)} + 4 \)
\( 5\)\(7.302\)\( - 4 \cos{\left(\frac{3 \pi}{13} \right)} + 4 \cos{\left(\frac{6 \pi}{13} \right)} + 4 \cos{\left(\frac{4 \pi}{13} \right)} + 4 \cos{\left(\frac{2 \pi}{13} \right)} + 4 \)
\( 6\)\(18.359\)\( - 8 \cos{\left(\frac{3 \pi}{13} \right)} + 12 \cos{\left(\frac{6 \pi}{13} \right)} + 12 \cos{\left(\frac{4 \pi}{13} \right)} + 8 \cos{\left(\frac{2 \pi}{13} \right)} + 9 \)
\( 7\)\(19.359\)\( - 8 \cos{\left(\frac{3 \pi}{13} \right)} + 12 \cos{\left(\frac{6 \pi}{13} \right)} + 12 \cos{\left(\frac{4 \pi}{13} \right)} + 8 \cos{\left(\frac{2 \pi}{13} \right)} + 10 \)
\( 8\)\(19.359\)\( - 8 \cos{\left(\frac{3 \pi}{13} \right)} + 12 \cos{\left(\frac{6 \pi}{13} \right)} + 12 \cos{\left(\frac{4 \pi}{13} \right)} + 8 \cos{\left(\frac{2 \pi}{13} \right)} + 10 \)
\( 9\)\(19.359\)\( - 8 \cos{\left(\frac{3 \pi}{13} \right)} + 12 \cos{\left(\frac{6 \pi}{13} \right)} + 12 \cos{\left(\frac{4 \pi}{13} \right)} + 8 \cos{\left(\frac{2 \pi}{13} \right)} + 10 \)
\( 10\)\(19.359\)\( - 8 \cos{\left(\frac{3 \pi}{13} \right)} + 12 \cos{\left(\frac{6 \pi}{13} \right)} + 12 \cos{\left(\frac{4 \pi}{13} \right)} + 8 \cos{\left(\frac{2 \pi}{13} \right)} + 10 \)
\( 11\)\(25.661\)\( - 12 \cos{\left(\frac{3 \pi}{13} \right)} + 16 \cos{\left(\frac{6 \pi}{13} \right)} + 16 \cos{\left(\frac{4 \pi}{13} \right)} + 12 \cos{\left(\frac{2 \pi}{13} \right)} + 13 \)
\( 12\)\(26.661\)\( - 12 \cos{\left(\frac{3 \pi}{13} \right)} + 16 \cos{\left(\frac{6 \pi}{13} \right)} + 16 \cos{\left(\frac{4 \pi}{13} \right)} + 12 \cos{\left(\frac{2 \pi}{13} \right)} + 14 \)
\( 13\)\(26.661\)\( - 12 \cos{\left(\frac{3 \pi}{13} \right)} + 16 \cos{\left(\frac{6 \pi}{13} \right)} + 16 \cos{\left(\frac{4 \pi}{13} \right)} + 12 \cos{\left(\frac{2 \pi}{13} \right)} + 14 \)
\( 14\)\(26.661\)\( - 12 \cos{\left(\frac{3 \pi}{13} \right)} + 16 \cos{\left(\frac{6 \pi}{13} \right)} + 16 \cos{\left(\frac{4 \pi}{13} \right)} + 12 \cos{\left(\frac{2 \pi}{13} \right)} + 14 \)
\( 15\)\(26.661\)\( - 12 \cos{\left(\frac{3 \pi}{13} \right)} + 16 \cos{\left(\frac{6 \pi}{13} \right)} + 16 \cos{\left(\frac{4 \pi}{13} \right)} + 12 \cos{\left(\frac{2 \pi}{13} \right)} + 14 \)
\( 16\)\(43.020\)\( - 20 \cos{\left(\frac{3 \pi}{13} \right)} + 28 \cos{\left(\frac{6 \pi}{13} \right)} + 28 \cos{\left(\frac{4 \pi}{13} \right)} + 20 \cos{\left(\frac{2 \pi}{13} \right)} + 21 \)
\( D^2\)7402.794\(- 3328 \cos{\left(\frac{3 \pi}{13} \right)} + 4576 \cos{\left(\frac{6 \pi}{13} \right)} + 4576 \cos{\left(\frac{4 \pi}{13} \right)} + 3328 \cos{\left(\frac{2 \pi}{13} \right)} + 3796\)

Modular Data

Twist Factors

\[ \begin{pmatrix} \htmlTitle{\theta_{1}}{0} & \htmlTitle{\theta_{2}}{\frac{18}{13}} & \htmlTitle{\theta_{3}}{\frac{12}{13}} & \htmlTitle{\theta_{4}}{\frac{14}{13}} & \htmlTitle{\theta_{5}}{\frac{8}{13}} & \htmlTitle{\theta_{6}}{0} & \htmlTitle{\theta_{7}}{\frac{10}{13}} & \htmlTitle{\theta_{8}}{\frac{24}{13}} & \htmlTitle{\theta_{9}}{\frac{2}{13}} & \htmlTitle{\theta_{10}}{\frac{16}{13}} & \htmlTitle{\theta_{11}}{0} & \htmlTitle{\theta_{12}}{\frac{20}{13}} & \htmlTitle{\theta_{13}}{\frac{6}{13}} & \htmlTitle{\theta_{14}}{\frac{22}{13}} & \htmlTitle{\theta_{15}}{\frac{4}{13}} & \htmlTitle{\theta_{16}}{1} \end{pmatrix} \]

S Matrix

\[ \left(\begin{array}{llllllllllllllll} \htmlTitle{S_{1; 1}}{1} & & & & & & & & & & & & & & & \\ \htmlTitle{S_{2; 1}}{-2 \zeta_{104}^{44} + 2 \zeta_{104}^{40} - 2 \zeta_{104}^{36} - 2 \zeta_{104}^{28} + 2 \zeta_{104}^{24} + 2 \zeta_{104}^{16} - 2 \zeta_{104}^{12} + 2 \zeta_{104}^{8} + 4} & \htmlTitle{S_{2; 2}}{6 \zeta_{104}^{40} - 4 \zeta_{104}^{36} - 2 \zeta_{104}^{32} - 6 \zeta_{104}^{28} + 6 \zeta_{104}^{24} + 2 \zeta_{104}^{20} + 4 \zeta_{104}^{16} - 6 \zeta_{104}^{12} + 8} & & & & & & & & & & & & & & \\ \htmlTitle{S_{3; 1}}{-2 \zeta_{104}^{44} + 2 \zeta_{104}^{40} - 2 \zeta_{104}^{36} - 2 \zeta_{104}^{28} + 2 \zeta_{104}^{24} + 2 \zeta_{104}^{16} - 2 \zeta_{104}^{12} + 2 \zeta_{104}^{8} + 4} & \htmlTitle{S_{3; 2}}{-8 \zeta_{104}^{44} - 2 \zeta_{104}^{40} - 4 \zeta_{104}^{36} + 4 \zeta_{104}^{32} - 2 \zeta_{104}^{28} + 2 \zeta_{104}^{24} - 4 \zeta_{104}^{20} + 4 \zeta_{104}^{16} + 2 \zeta_{104}^{12} + 8 \zeta_{104}^{8} + 4} & \htmlTitle{S_{3; 3}}{-8 \zeta_{104}^{44} + 2 \zeta_{104}^{40} - 8 \zeta_{104}^{36} + 2 \zeta_{104}^{32} - 6 \zeta_{104}^{28} + 6 \zeta_{104}^{24} - 2 \zeta_{104}^{20} + 8 \zeta_{104}^{16} - 2 \zeta_{104}^{12} + 8 \zeta_{104}^{8} + 10} & & & & & & & & & & & & & \\ \htmlTitle{S_{4; 1}}{-2 \zeta_{104}^{44} + 2 \zeta_{104}^{40} - 2 \zeta_{104}^{36} - 2 \zeta_{104}^{28} + 2 \zeta_{104}^{24} + 2 \zeta_{104}^{16} - 2 \zeta_{104}^{12} + 2 \zeta_{104}^{8} + 4} & \htmlTitle{S_{4; 2}}{6 \zeta_{104}^{44} + 4 \zeta_{104}^{40} + 2 \zeta_{104}^{36} - 4 \zeta_{104}^{32} + 4 \zeta_{104}^{20} - 2 \zeta_{104}^{16} - 4 \zeta_{104}^{12} - 6 \zeta_{104}^{8}} & \htmlTitle{S_{4; 3}}{6 \zeta_{104}^{40} - 4 \zeta_{104}^{36} - 2 \zeta_{104}^{32} - 6 \zeta_{104}^{28} + 6 \zeta_{104}^{24} + 2 \zeta_{104}^{20} + 4 \zeta_{104}^{16} - 6 \zeta_{104}^{12} + 8} & \htmlTitle{S_{4; 4}}{-8 \zeta_{104}^{44} + 2 \zeta_{104}^{40} - 8 \zeta_{104}^{36} + 2 \zeta_{104}^{32} - 6 \zeta_{104}^{28} + 6 \zeta_{104}^{24} - 2 \zeta_{104}^{20} + 8 \zeta_{104}^{16} - 2 \zeta_{104}^{12} + 8 \zeta_{104}^{8} + 10} & & & & & & & & & & & & \\ \htmlTitle{S_{5; 1}}{-2 \zeta_{104}^{44} + 2 \zeta_{104}^{40} - 2 \zeta_{104}^{36} - 2 \zeta_{104}^{28} + 2 \zeta_{104}^{24} + 2 \zeta_{104}^{16} - 2 \zeta_{104}^{12} + 2 \zeta_{104}^{8} + 4} & \htmlTitle{S_{5; 2}}{-8 \zeta_{104}^{44} + 2 \zeta_{104}^{40} - 8 \zeta_{104}^{36} + 2 \zeta_{104}^{32} - 6 \zeta_{104}^{28} + 6 \zeta_{104}^{24} - 2 \zeta_{104}^{20} + 8 \zeta_{104}^{16} - 2 \zeta_{104}^{12} + 8 \zeta_{104}^{8} + 10} & \htmlTitle{S_{5; 3}}{6 \zeta_{104}^{44} + 4 \zeta_{104}^{40} + 2 \zeta_{104}^{36} - 4 \zeta_{104}^{32} + 4 \zeta_{104}^{20} - 2 \zeta_{104}^{16} - 4 \zeta_{104}^{12} - 6 \zeta_{104}^{8}} & \htmlTitle{S_{5; 4}}{-8 \zeta_{104}^{44} - 2 \zeta_{104}^{40} - 4 \zeta_{104}^{36} + 4 \zeta_{104}^{32} - 2 \zeta_{104}^{28} + 2 \zeta_{104}^{24} - 4 \zeta_{104}^{20} + 4 \zeta_{104}^{16} + 2 \zeta_{104}^{12} + 8 \zeta_{104}^{8} + 4} & \htmlTitle{S_{5; 5}}{6 \zeta_{104}^{40} - 4 \zeta_{104}^{36} - 2 \zeta_{104}^{32} - 6 \zeta_{104}^{28} + 6 \zeta_{104}^{24} + 2 \zeta_{104}^{20} + 4 \zeta_{104}^{16} - 6 \zeta_{104}^{12} + 8} & & & & & & & & & & & \\ \htmlTitle{S_{6; 1}}{-4 \zeta_{104}^{44} + 4 \zeta_{104}^{40} - 6 \zeta_{104}^{36} - 6 \zeta_{104}^{28} + 6 \zeta_{104}^{24} + 6 \zeta_{104}^{16} - 4 \zeta_{104}^{12} + 4 \zeta_{104}^{8} + 9} & \htmlTitle{S_{6; 2}}{-6 \zeta_{104}^{44} + 6 \zeta_{104}^{40} - 8 \zeta_{104}^{36} - 8 \zeta_{104}^{28} + 8 \zeta_{104}^{24} + 8 \zeta_{104}^{16} - 6 \zeta_{104}^{12} + 6 \zeta_{104}^{8} + 14} & \htmlTitle{S_{6; 3}}{-6 \zeta_{104}^{44} + 6 \zeta_{104}^{40} - 8 \zeta_{104}^{36} - 8 \zeta_{104}^{28} + 8 \zeta_{104}^{24} + 8 \zeta_{104}^{16} - 6 \zeta_{104}^{12} + 6 \zeta_{104}^{8} + 14} & \htmlTitle{S_{6; 4}}{-6 \zeta_{104}^{44} + 6 \zeta_{104}^{40} - 8 \zeta_{104}^{36} - 8 \zeta_{104}^{28} + 8 \zeta_{104}^{24} + 8 \zeta_{104}^{16} - 6 \zeta_{104}^{12} + 6 \zeta_{104}^{8} + 14} & \htmlTitle{S_{6; 5}}{-6 \zeta_{104}^{44} + 6 \zeta_{104}^{40} - 8 \zeta_{104}^{36} - 8 \zeta_{104}^{28} + 8 \zeta_{104}^{24} + 8 \zeta_{104}^{16} - 6 \zeta_{104}^{12} + 6 \zeta_{104}^{8} + 14} & \htmlTitle{S_{6; 6}}{6 \zeta_{104}^{44} - 6 \zeta_{104}^{40} + 8 \zeta_{104}^{36} + 8 \zeta_{104}^{28} - 8 \zeta_{104}^{24} - 8 \zeta_{104}^{16} + 6 \zeta_{104}^{12} - 6 \zeta_{104}^{8} - 13} & & & & & & & & & & \\ \htmlTitle{S_{7; 1}}{-4 \zeta_{104}^{44} + 4 \zeta_{104}^{40} - 6 \zeta_{104}^{36} - 6 \zeta_{104}^{28} + 6 \zeta_{104}^{24} + 6 \zeta_{104}^{16} - 4 \zeta_{104}^{12} + 4 \zeta_{104}^{8} + 10} & \htmlTitle{S_{7; 2}}{8 \zeta_{104}^{44} + 6 \zeta_{104}^{40} + 2 \zeta_{104}^{36} - 6 \zeta_{104}^{32} - 2 \zeta_{104}^{28} + 2 \zeta_{104}^{24} + 6 \zeta_{104}^{20} - 2 \zeta_{104}^{16} - 6 \zeta_{104}^{12} - 8 \zeta_{104}^{8} + 2} & \htmlTitle{S_{7; 3}}{-4 \zeta_{104}^{44} - 2 \zeta_{104}^{40} - 2 \zeta_{104}^{36} + 2 \zeta_{104}^{32} - 2 \zeta_{104}^{20} + 2 \zeta_{104}^{16} + 2 \zeta_{104}^{12} + 4 \zeta_{104}^{8}} & \htmlTitle{S_{7; 4}}{4 \zeta_{104}^{44} + 2 \zeta_{104}^{40} + 2 \zeta_{104}^{36} - 2 \zeta_{104}^{32} + 2 \zeta_{104}^{20} - 2 \zeta_{104}^{16} - 2 \zeta_{104}^{12} - 4 \zeta_{104}^{8} - 2} & \htmlTitle{S_{7; 5}}{-12 \zeta_{104}^{44} - 2 \zeta_{104}^{40} - 8 \zeta_{104}^{36} + 6 \zeta_{104}^{32} - 4 \zeta_{104}^{28} + 4 \zeta_{104}^{24} - 6 \zeta_{104}^{20} + 8 \zeta_{104}^{16} + 2 \zeta_{104}^{12} + 12 \zeta_{104}^{8} + 8} & \htmlTitle{S_{7; 6}}{2 \zeta_{104}^{44} - 2 \zeta_{104}^{40} + 2 \zeta_{104}^{36} + 2 \zeta_{104}^{28} - 2 \zeta_{104}^{24} - 2 \zeta_{104}^{16} + 2 \zeta_{104}^{12} - 2 \zeta_{104}^{8} - 4} & \htmlTitle{S_{7; 7}}{-10 \zeta_{104}^{44} + 4 \zeta_{104}^{40} - 10 \zeta_{104}^{36} + 2 \zeta_{104}^{32} - 8 \zeta_{104}^{28} + 8 \zeta_{104}^{24} - 2 \zeta_{104}^{20} + 10 \zeta_{104}^{16} - 4 \zeta_{104}^{12} + 10 \zeta_{104}^{8} + 14} & & & & & & & & & \\ \htmlTitle{S_{8; 1}}{-4 \zeta_{104}^{44} + 4 \zeta_{104}^{40} - 6 \zeta_{104}^{36} - 6 \zeta_{104}^{28} + 6 \zeta_{104}^{24} + 6 \zeta_{104}^{16} - 4 \zeta_{104}^{12} + 4 \zeta_{104}^{8} + 10} & \htmlTitle{S_{8; 2}}{-4 \zeta_{104}^{44} - 2 \zeta_{104}^{40} - 2 \zeta_{104}^{36} + 2 \zeta_{104}^{32} - 2 \zeta_{104}^{20} + 2 \zeta_{104}^{16} + 2 \zeta_{104}^{12} + 4 \zeta_{104}^{8}} & \htmlTitle{S_{8; 3}}{-12 \zeta_{104}^{44} - 2 \zeta_{104}^{40} - 8 \zeta_{104}^{36} + 6 \zeta_{104}^{32} - 4 \zeta_{104}^{28} + 4 \zeta_{104}^{24} - 6 \zeta_{104}^{20} + 8 \zeta_{104}^{16} + 2 \zeta_{104}^{12} + 12 \zeta_{104}^{8} + 8} & \htmlTitle{S_{8; 4}}{8 \zeta_{104}^{44} + 6 \zeta_{104}^{40} + 2 \zeta_{104}^{36} - 6 \zeta_{104}^{32} - 2 \zeta_{104}^{28} + 2 \zeta_{104}^{24} + 6 \zeta_{104}^{20} - 2 \zeta_{104}^{16} - 6 \zeta_{104}^{12} - 8 \zeta_{104}^{8} + 2} & \htmlTitle{S_{8; 5}}{4 \zeta_{104}^{44} + 2 \zeta_{104}^{40} + 2 \zeta_{104}^{36} - 2 \zeta_{104}^{32} + 2 \zeta_{104}^{20} - 2 \zeta_{104}^{16} - 2 \zeta_{104}^{12} - 4 \zeta_{104}^{8} - 2} & \htmlTitle{S_{8; 6}}{2 \zeta_{104}^{44} - 2 \zeta_{104}^{40} + 2 \zeta_{104}^{36} + 2 \zeta_{104}^{28} - 2 \zeta_{104}^{24} - 2 \zeta_{104}^{16} + 2 \zeta_{104}^{12} - 2 \zeta_{104}^{8} - 4} & \htmlTitle{S_{8; 7}}{-2 \zeta_{104}^{44} - 6 \zeta_{104}^{40} + 2 \zeta_{104}^{36} + 2 \zeta_{104}^{32} + 4 \zeta_{104}^{28} - 4 \zeta_{104}^{24} - 2 \zeta_{104}^{20} - 2 \zeta_{104}^{16} + 6 \zeta_{104}^{12} + 2 \zeta_{104}^{8} - 6} & \htmlTitle{S_{8; 8}}{-2 \zeta_{104}^{44} + 8 \zeta_{104}^{40} - 6 \zeta_{104}^{36} - 2 \zeta_{104}^{32} - 8 \zeta_{104}^{28} + 8 \zeta_{104}^{24} + 2 \zeta_{104}^{20} + 6 \zeta_{104}^{16} - 8 \zeta_{104}^{12} + 2 \zeta_{104}^{8} + 12} & & & & & & & & \\ \htmlTitle{S_{9; 1}}{-4 \zeta_{104}^{44} + 4 \zeta_{104}^{40} - 6 \zeta_{104}^{36} - 6 \zeta_{104}^{28} + 6 \zeta_{104}^{24} + 6 \zeta_{104}^{16} - 4 \zeta_{104}^{12} + 4 \zeta_{104}^{8} + 10} & \htmlTitle{S_{9; 2}}{4 \zeta_{104}^{44} + 2 \zeta_{104}^{40} + 2 \zeta_{104}^{36} - 2 \zeta_{104}^{32} + 2 \zeta_{104}^{20} - 2 \zeta_{104}^{16} - 2 \zeta_{104}^{12} - 4 \zeta_{104}^{8} - 2} & \htmlTitle{S_{9; 3}}{8 \zeta_{104}^{44} + 6 \zeta_{104}^{40} + 2 \zeta_{104}^{36} - 6 \zeta_{104}^{32} - 2 \zeta_{104}^{28} + 2 \zeta_{104}^{24} + 6 \zeta_{104}^{20} - 2 \zeta_{104}^{16} - 6 \zeta_{104}^{12} - 8 \zeta_{104}^{8} + 2} & \htmlTitle{S_{9; 4}}{-12 \zeta_{104}^{44} - 2 \zeta_{104}^{40} - 8 \zeta_{104}^{36} + 6 \zeta_{104}^{32} - 4 \zeta_{104}^{28} + 4 \zeta_{104}^{24} - 6 \zeta_{104}^{20} + 8 \zeta_{104}^{16} + 2 \zeta_{104}^{12} + 12 \zeta_{104}^{8} + 8} & \htmlTitle{S_{9; 5}}{-4 \zeta_{104}^{44} - 2 \zeta_{104}^{40} - 2 \zeta_{104}^{36} + 2 \zeta_{104}^{32} - 2 \zeta_{104}^{20} + 2 \zeta_{104}^{16} + 2 \zeta_{104}^{12} + 4 \zeta_{104}^{8}} & \htmlTitle{S_{9; 6}}{2 \zeta_{104}^{44} - 2 \zeta_{104}^{40} + 2 \zeta_{104}^{36} + 2 \zeta_{104}^{28} - 2 \zeta_{104}^{24} - 2 \zeta_{104}^{16} + 2 \zeta_{104}^{12} - 2 \zeta_{104}^{8} - 4} & \htmlTitle{S_{9; 7}}{8 \zeta_{104}^{44} + 6 \zeta_{104}^{36} - 2 \zeta_{104}^{32} + 4 \zeta_{104}^{28} - 4 \zeta_{104}^{24} + 2 \zeta_{104}^{20} - 6 \zeta_{104}^{16} - 8 \zeta_{104}^{8} - 8} & \htmlTitle{S_{9; 8}}{-10 \zeta_{104}^{44} + 4 \zeta_{104}^{40} - 10 \zeta_{104}^{36} + 2 \zeta_{104}^{32} - 8 \zeta_{104}^{28} + 8 \zeta_{104}^{24} - 2 \zeta_{104}^{20} + 10 \zeta_{104}^{16} - 4 \zeta_{104}^{12} + 10 \zeta_{104}^{8} + 14} & \htmlTitle{S_{9; 9}}{-2 \zeta_{104}^{44} + 8 \zeta_{104}^{40} - 6 \zeta_{104}^{36} - 2 \zeta_{104}^{32} - 8 \zeta_{104}^{28} + 8 \zeta_{104}^{24} + 2 \zeta_{104}^{20} + 6 \zeta_{104}^{16} - 8 \zeta_{104}^{12} + 2 \zeta_{104}^{8} + 12} & & & & & & & \\ \htmlTitle{S_{10; 1}}{-4 \zeta_{104}^{44} + 4 \zeta_{104}^{40} - 6 \zeta_{104}^{36} - 6 \zeta_{104}^{28} + 6 \zeta_{104}^{24} + 6 \zeta_{104}^{16} - 4 \zeta_{104}^{12} + 4 \zeta_{104}^{8} + 10} & \htmlTitle{S_{10; 2}}{-12 \zeta_{104}^{44} - 2 \zeta_{104}^{40} - 8 \zeta_{104}^{36} + 6 \zeta_{104}^{32} - 4 \zeta_{104}^{28} + 4 \zeta_{104}^{24} - 6 \zeta_{104}^{20} + 8 \zeta_{104}^{16} + 2 \zeta_{104}^{12} + 12 \zeta_{104}^{8} + 8} & \htmlTitle{S_{10; 3}}{4 \zeta_{104}^{44} + 2 \zeta_{104}^{40} + 2 \zeta_{104}^{36} - 2 \zeta_{104}^{32} + 2 \zeta_{104}^{20} - 2 \zeta_{104}^{16} - 2 \zeta_{104}^{12} - 4 \zeta_{104}^{8} - 2} & \htmlTitle{S_{10; 4}}{-4 \zeta_{104}^{44} - 2 \zeta_{104}^{40} - 2 \zeta_{104}^{36} + 2 \zeta_{104}^{32} - 2 \zeta_{104}^{20} + 2 \zeta_{104}^{16} + 2 \zeta_{104}^{12} + 4 \zeta_{104}^{8}} & \htmlTitle{S_{10; 5}}{8 \zeta_{104}^{44} + 6 \zeta_{104}^{40} + 2 \zeta_{104}^{36} - 6 \zeta_{104}^{32} - 2 \zeta_{104}^{28} + 2 \zeta_{104}^{24} + 6 \zeta_{104}^{20} - 2 \zeta_{104}^{16} - 6 \zeta_{104}^{12} - 8 \zeta_{104}^{8} + 2} & \htmlTitle{S_{10; 6}}{2 \zeta_{104}^{44} - 2 \zeta_{104}^{40} + 2 \zeta_{104}^{36} + 2 \zeta_{104}^{28} - 2 \zeta_{104}^{24} - 2 \zeta_{104}^{16} + 2 \zeta_{104}^{12} - 2 \zeta_{104}^{8} - 4} & \htmlTitle{S_{10; 7}}{-2 \zeta_{104}^{44} + 8 \zeta_{104}^{40} - 6 \zeta_{104}^{36} - 2 \zeta_{104}^{32} - 8 \zeta_{104}^{28} + 8 \zeta_{104}^{24} + 2 \zeta_{104}^{20} + 6 \zeta_{104}^{16} - 8 \zeta_{104}^{12} + 2 \zeta_{104}^{8} + 12} & \htmlTitle{S_{10; 8}}{8 \zeta_{104}^{44} + 6 \zeta_{104}^{36} - 2 \zeta_{104}^{32} + 4 \zeta_{104}^{28} - 4 \zeta_{104}^{24} + 2 \zeta_{104}^{20} - 6 \zeta_{104}^{16} - 8 \zeta_{104}^{8} - 8} & \htmlTitle{S_{10; 9}}{-2 \zeta_{104}^{44} - 6 \zeta_{104}^{40} + 2 \zeta_{104}^{36} + 2 \zeta_{104}^{32} + 4 \zeta_{104}^{28} - 4 \zeta_{104}^{24} - 2 \zeta_{104}^{20} - 2 \zeta_{104}^{16} + 6 \zeta_{104}^{12} + 2 \zeta_{104}^{8} - 6} & \htmlTitle{S_{10; 10}}{-10 \zeta_{104}^{44} + 4 \zeta_{104}^{40} - 10 \zeta_{104}^{36} + 2 \zeta_{104}^{32} - 8 \zeta_{104}^{28} + 8 \zeta_{104}^{24} - 2 \zeta_{104}^{20} + 10 \zeta_{104}^{16} - 4 \zeta_{104}^{12} + 10 \zeta_{104}^{8} + 14} & & & & & & \\ \htmlTitle{S_{11; 1}}{-6 \zeta_{104}^{44} + 6 \zeta_{104}^{40} - 8 \zeta_{104}^{36} - 8 \zeta_{104}^{28} + 8 \zeta_{104}^{24} + 8 \zeta_{104}^{16} - 6 \zeta_{104}^{12} + 6 \zeta_{104}^{8} + 13} & \htmlTitle{S_{11; 2}}{4 \zeta_{104}^{44} - 4 \zeta_{104}^{40} + 6 \zeta_{104}^{36} + 6 \zeta_{104}^{28} - 6 \zeta_{104}^{24} - 6 \zeta_{104}^{16} + 4 \zeta_{104}^{12} - 4 \zeta_{104}^{8} - 10} & \htmlTitle{S_{11; 3}}{4 \zeta_{104}^{44} - 4 \zeta_{104}^{40} + 6 \zeta_{104}^{36} + 6 \zeta_{104}^{28} - 6 \zeta_{104}^{24} - 6 \zeta_{104}^{16} + 4 \zeta_{104}^{12} - 4 \zeta_{104}^{8} - 10} & \htmlTitle{S_{11; 4}}{4 \zeta_{104}^{44} - 4 \zeta_{104}^{40} + 6 \zeta_{104}^{36} + 6 \zeta_{104}^{28} - 6 \zeta_{104}^{24} - 6 \zeta_{104}^{16} + 4 \zeta_{104}^{12} - 4 \zeta_{104}^{8} - 10} & \htmlTitle{S_{11; 5}}{4 \zeta_{104}^{44} - 4 \zeta_{104}^{40} + 6 \zeta_{104}^{36} + 6 \zeta_{104}^{28} - 6 \zeta_{104}^{24} - 6 \zeta_{104}^{16} + 4 \zeta_{104}^{12} - 4 \zeta_{104}^{8} - 10} & \htmlTitle{S_{11; 6}}{1} & \htmlTitle{S_{11; 7}}{-6 \zeta_{104}^{44} + 6 \zeta_{104}^{40} - 8 \zeta_{104}^{36} - 8 \zeta_{104}^{28} + 8 \zeta_{104}^{24} + 8 \zeta_{104}^{16} - 6 \zeta_{104}^{12} + 6 \zeta_{104}^{8} + 14} & \htmlTitle{S_{11; 8}}{-6 \zeta_{104}^{44} + 6 \zeta_{104}^{40} - 8 \zeta_{104}^{36} - 8 \zeta_{104}^{28} + 8 \zeta_{104}^{24} + 8 \zeta_{104}^{16} - 6 \zeta_{104}^{12} + 6 \zeta_{104}^{8} + 14} & \htmlTitle{S_{11; 9}}{-6 \zeta_{104}^{44} + 6 \zeta_{104}^{40} - 8 \zeta_{104}^{36} - 8 \zeta_{104}^{28} + 8 \zeta_{104}^{24} + 8 \zeta_{104}^{16} - 6 \zeta_{104}^{12} + 6 \zeta_{104}^{8} + 14} & \htmlTitle{S_{11; 10}}{-6 \zeta_{104}^{44} + 6 \zeta_{104}^{40} - 8 \zeta_{104}^{36} - 8 \zeta_{104}^{28} + 8 \zeta_{104}^{24} + 8 \zeta_{104}^{16} - 6 \zeta_{104}^{12} + 6 \zeta_{104}^{8} + 14} & \htmlTitle{S_{11; 11}}{4 \zeta_{104}^{44} - 4 \zeta_{104}^{40} + 6 \zeta_{104}^{36} + 6 \zeta_{104}^{28} - 6 \zeta_{104}^{24} - 6 \zeta_{104}^{16} + 4 \zeta_{104}^{12} - 4 \zeta_{104}^{8} - 9} & & & & & \\ \htmlTitle{S_{12; 1}}{-6 \zeta_{104}^{44} + 6 \zeta_{104}^{40} - 8 \zeta_{104}^{36} - 8 \zeta_{104}^{28} + 8 \zeta_{104}^{24} + 8 \zeta_{104}^{16} - 6 \zeta_{104}^{12} + 6 \zeta_{104}^{8} + 14} & \htmlTitle{S_{12; 2}}{10 \zeta_{104}^{44} - 4 \zeta_{104}^{40} + 10 \zeta_{104}^{36} - 2 \zeta_{104}^{32} + 8 \zeta_{104}^{28} - 8 \zeta_{104}^{24} + 2 \zeta_{104}^{20} - 10 \zeta_{104}^{16} + 4 \zeta_{104}^{12} - 10 \zeta_{104}^{8} - 14} & \htmlTitle{S_{12; 3}}{2 \zeta_{104}^{44} + 6 \zeta_{104}^{40} - 2 \zeta_{104}^{36} - 2 \zeta_{104}^{32} - 4 \zeta_{104}^{28} + 4 \zeta_{104}^{24} + 2 \zeta_{104}^{20} + 2 \zeta_{104}^{16} - 6 \zeta_{104}^{12} - 2 \zeta_{104}^{8} + 6} & \htmlTitle{S_{12; 4}}{-8 \zeta_{104}^{44} - 6 \zeta_{104}^{36} + 2 \zeta_{104}^{32} - 4 \zeta_{104}^{28} + 4 \zeta_{104}^{24} - 2 \zeta_{104}^{20} + 6 \zeta_{104}^{16} + 8 \zeta_{104}^{8} + 8} & \htmlTitle{S_{12; 5}}{2 \zeta_{104}^{44} - 8 \zeta_{104}^{40} + 6 \zeta_{104}^{36} + 2 \zeta_{104}^{32} + 8 \zeta_{104}^{28} - 8 \zeta_{104}^{24} - 2 \zeta_{104}^{20} - 6 \zeta_{104}^{16} + 8 \zeta_{104}^{12} - 2 \zeta_{104}^{8} - 12} & \htmlTitle{S_{12; 6}}{-4 \zeta_{104}^{44} + 4 \zeta_{104}^{40} - 6 \zeta_{104}^{36} - 6 \zeta_{104}^{28} + 6 \zeta_{104}^{24} + 6 \zeta_{104}^{16} - 4 \zeta_{104}^{12} + 4 \zeta_{104}^{8} + 10} & \htmlTitle{S_{12; 7}}{-6 \zeta_{104}^{44} - 4 \zeta_{104}^{40} - 2 \zeta_{104}^{36} + 4 \zeta_{104}^{32} - 4 \zeta_{104}^{20} + 2 \zeta_{104}^{16} + 4 \zeta_{104}^{12} + 6 \zeta_{104}^{8}} & \htmlTitle{S_{12; 8}}{-6 \zeta_{104}^{40} + 4 \zeta_{104}^{36} + 2 \zeta_{104}^{32} + 6 \zeta_{104}^{28} - 6 \zeta_{104}^{24} - 2 \zeta_{104}^{20} - 4 \zeta_{104}^{16} + 6 \zeta_{104}^{12} - 8} & \htmlTitle{S_{12; 9}}{8 \zeta_{104}^{44} - 2 \zeta_{104}^{40} + 8 \zeta_{104}^{36} - 2 \zeta_{104}^{32} + 6 \zeta_{104}^{28} - 6 \zeta_{104}^{24} + 2 \zeta_{104}^{20} - 8 \zeta_{104}^{16} + 2 \zeta_{104}^{12} - 8 \zeta_{104}^{8} - 10} & \htmlTitle{S_{12; 10}}{8 \zeta_{104}^{44} + 2 \zeta_{104}^{40} + 4 \zeta_{104}^{36} - 4 \zeta_{104}^{32} + 2 \zeta_{104}^{28} - 2 \zeta_{104}^{24} + 4 \zeta_{104}^{20} - 4 \zeta_{104}^{16} - 2 \zeta_{104}^{12} - 8 \zeta_{104}^{8} - 4} & \htmlTitle{S_{12; 11}}{-2 \zeta_{104}^{44} + 2 \zeta_{104}^{40} - 2 \zeta_{104}^{36} - 2 \zeta_{104}^{28} + 2 \zeta_{104}^{24} + 2 \zeta_{104}^{16} - 2 \zeta_{104}^{12} + 2 \zeta_{104}^{8} + 4} & \htmlTitle{S_{12; 12}}{4 \zeta_{104}^{44} + 2 \zeta_{104}^{40} + 2 \zeta_{104}^{36} - 2 \zeta_{104}^{32} + 2 \zeta_{104}^{20} - 2 \zeta_{104}^{16} - 2 \zeta_{104}^{12} - 4 \zeta_{104}^{8} - 2} & & & & \\ \htmlTitle{S_{13; 1}}{-6 \zeta_{104}^{44} + 6 \zeta_{104}^{40} - 8 \zeta_{104}^{36} - 8 \zeta_{104}^{28} + 8 \zeta_{104}^{24} + 8 \zeta_{104}^{16} - 6 \zeta_{104}^{12} + 6 \zeta_{104}^{8} + 14} & \htmlTitle{S_{13; 2}}{2 \zeta_{104}^{44} - 8 \zeta_{104}^{40} + 6 \zeta_{104}^{36} + 2 \zeta_{104}^{32} + 8 \zeta_{104}^{28} - 8 \zeta_{104}^{24} - 2 \zeta_{104}^{20} - 6 \zeta_{104}^{16} + 8 \zeta_{104}^{12} - 2 \zeta_{104}^{8} - 12} & \htmlTitle{S_{13; 3}}{-8 \zeta_{104}^{44} - 6 \zeta_{104}^{36} + 2 \zeta_{104}^{32} - 4 \zeta_{104}^{28} + 4 \zeta_{104}^{24} - 2 \zeta_{104}^{20} + 6 \zeta_{104}^{16} + 8 \zeta_{104}^{8} + 8} & \htmlTitle{S_{13; 4}}{2 \zeta_{104}^{44} + 6 \zeta_{104}^{40} - 2 \zeta_{104}^{36} - 2 \zeta_{104}^{32} - 4 \zeta_{104}^{28} + 4 \zeta_{104}^{24} + 2 \zeta_{104}^{20} + 2 \zeta_{104}^{16} - 6 \zeta_{104}^{12} - 2 \zeta_{104}^{8} + 6} & \htmlTitle{S_{13; 5}}{10 \zeta_{104}^{44} - 4 \zeta_{104}^{40} + 10 \zeta_{104}^{36} - 2 \zeta_{104}^{32} + 8 \zeta_{104}^{28} - 8 \zeta_{104}^{24} + 2 \zeta_{104}^{20} - 10 \zeta_{104}^{16} + 4 \zeta_{104}^{12} - 10 \zeta_{104}^{8} - 14} & \htmlTitle{S_{13; 6}}{-4 \zeta_{104}^{44} + 4 \zeta_{104}^{40} - 6 \zeta_{104}^{36} - 6 \zeta_{104}^{28} + 6 \zeta_{104}^{24} + 6 \zeta_{104}^{16} - 4 \zeta_{104}^{12} + 4 \zeta_{104}^{8} + 10} & \htmlTitle{S_{13; 7}}{8 \zeta_{104}^{44} + 2 \zeta_{104}^{40} + 4 \zeta_{104}^{36} - 4 \zeta_{104}^{32} + 2 \zeta_{104}^{28} - 2 \zeta_{104}^{24} + 4 \zeta_{104}^{20} - 4 \zeta_{104}^{16} - 2 \zeta_{104}^{12} - 8 \zeta_{104}^{8} - 4} & \htmlTitle{S_{13; 8}}{8 \zeta_{104}^{44} - 2 \zeta_{104}^{40} + 8 \zeta_{104}^{36} - 2 \zeta_{104}^{32} + 6 \zeta_{104}^{28} - 6 \zeta_{104}^{24} + 2 \zeta_{104}^{20} - 8 \zeta_{104}^{16} + 2 \zeta_{104}^{12} - 8 \zeta_{104}^{8} - 10} & \htmlTitle{S_{13; 9}}{-6 \zeta_{104}^{40} + 4 \zeta_{104}^{36} + 2 \zeta_{104}^{32} + 6 \zeta_{104}^{28} - 6 \zeta_{104}^{24} - 2 \zeta_{104}^{20} - 4 \zeta_{104}^{16} + 6 \zeta_{104}^{12} - 8} & \htmlTitle{S_{13; 10}}{-6 \zeta_{104}^{44} - 4 \zeta_{104}^{40} - 2 \zeta_{104}^{36} + 4 \zeta_{104}^{32} - 4 \zeta_{104}^{20} + 2 \zeta_{104}^{16} + 4 \zeta_{104}^{12} + 6 \zeta_{104}^{8}} & \htmlTitle{S_{13; 11}}{-2 \zeta_{104}^{44} + 2 \zeta_{104}^{40} - 2 \zeta_{104}^{36} - 2 \zeta_{104}^{28} + 2 \zeta_{104}^{24} + 2 \zeta_{104}^{16} - 2 \zeta_{104}^{12} + 2 \zeta_{104}^{8} + 4} & \htmlTitle{S_{13; 12}}{-4 \zeta_{104}^{44} - 2 \zeta_{104}^{40} - 2 \zeta_{104}^{36} + 2 \zeta_{104}^{32} - 2 \zeta_{104}^{20} + 2 \zeta_{104}^{16} + 2 \zeta_{104}^{12} + 4 \zeta_{104}^{8}} & \htmlTitle{S_{13; 13}}{4 \zeta_{104}^{44} + 2 \zeta_{104}^{40} + 2 \zeta_{104}^{36} - 2 \zeta_{104}^{32} + 2 \zeta_{104}^{20} - 2 \zeta_{104}^{16} - 2 \zeta_{104}^{12} - 4 \zeta_{104}^{8} - 2} & & & \\ \htmlTitle{S_{14; 1}}{-6 \zeta_{104}^{44} + 6 \zeta_{104}^{40} - 8 \zeta_{104}^{36} - 8 \zeta_{104}^{28} + 8 \zeta_{104}^{24} + 8 \zeta_{104}^{16} - 6 \zeta_{104}^{12} + 6 \zeta_{104}^{8} + 14} & \htmlTitle{S_{14; 2}}{2 \zeta_{104}^{44} + 6 \zeta_{104}^{40} - 2 \zeta_{104}^{36} - 2 \zeta_{104}^{32} - 4 \zeta_{104}^{28} + 4 \zeta_{104}^{24} + 2 \zeta_{104}^{20} + 2 \zeta_{104}^{16} - 6 \zeta_{104}^{12} - 2 \zeta_{104}^{8} + 6} & \htmlTitle{S_{14; 3}}{2 \zeta_{104}^{44} - 8 \zeta_{104}^{40} + 6 \zeta_{104}^{36} + 2 \zeta_{104}^{32} + 8 \zeta_{104}^{28} - 8 \zeta_{104}^{24} - 2 \zeta_{104}^{20} - 6 \zeta_{104}^{16} + 8 \zeta_{104}^{12} - 2 \zeta_{104}^{8} - 12} & \htmlTitle{S_{14; 4}}{10 \zeta_{104}^{44} - 4 \zeta_{104}^{40} + 10 \zeta_{104}^{36} - 2 \zeta_{104}^{32} + 8 \zeta_{104}^{28} - 8 \zeta_{104}^{24} + 2 \zeta_{104}^{20} - 10 \zeta_{104}^{16} + 4 \zeta_{104}^{12} - 10 \zeta_{104}^{8} - 14} & \htmlTitle{S_{14; 5}}{-8 \zeta_{104}^{44} - 6 \zeta_{104}^{36} + 2 \zeta_{104}^{32} - 4 \zeta_{104}^{28} + 4 \zeta_{104}^{24} - 2 \zeta_{104}^{20} + 6 \zeta_{104}^{16} + 8 \zeta_{104}^{8} + 8} & \htmlTitle{S_{14; 6}}{-4 \zeta_{104}^{44} + 4 \zeta_{104}^{40} - 6 \zeta_{104}^{36} - 6 \zeta_{104}^{28} + 6 \zeta_{104}^{24} + 6 \zeta_{104}^{16} - 4 \zeta_{104}^{12} + 4 \zeta_{104}^{8} + 10} & \htmlTitle{S_{14; 7}}{-6 \zeta_{104}^{40} + 4 \zeta_{104}^{36} + 2 \zeta_{104}^{32} + 6 \zeta_{104}^{28} - 6 \zeta_{104}^{24} - 2 \zeta_{104}^{20} - 4 \zeta_{104}^{16} + 6 \zeta_{104}^{12} - 8} & \htmlTitle{S_{14; 8}}{8 \zeta_{104}^{44} + 2 \zeta_{104}^{40} + 4 \zeta_{104}^{36} - 4 \zeta_{104}^{32} + 2 \zeta_{104}^{28} - 2 \zeta_{104}^{24} + 4 \zeta_{104}^{20} - 4 \zeta_{104}^{16} - 2 \zeta_{104}^{12} - 8 \zeta_{104}^{8} - 4} & \htmlTitle{S_{14; 9}}{-6 \zeta_{104}^{44} - 4 \zeta_{104}^{40} - 2 \zeta_{104}^{36} + 4 \zeta_{104}^{32} - 4 \zeta_{104}^{20} + 2 \zeta_{104}^{16} + 4 \zeta_{104}^{12} + 6 \zeta_{104}^{8}} & \htmlTitle{S_{14; 10}}{8 \zeta_{104}^{44} - 2 \zeta_{104}^{40} + 8 \zeta_{104}^{36} - 2 \zeta_{104}^{32} + 6 \zeta_{104}^{28} - 6 \zeta_{104}^{24} + 2 \zeta_{104}^{20} - 8 \zeta_{104}^{16} + 2 \zeta_{104}^{12} - 8 \zeta_{104}^{8} - 10} & \htmlTitle{S_{14; 11}}{-2 \zeta_{104}^{44} + 2 \zeta_{104}^{40} - 2 \zeta_{104}^{36} - 2 \zeta_{104}^{28} + 2 \zeta_{104}^{24} + 2 \zeta_{104}^{16} - 2 \zeta_{104}^{12} + 2 \zeta_{104}^{8} + 4} & \htmlTitle{S_{14; 12}}{8 \zeta_{104}^{44} + 6 \zeta_{104}^{40} + 2 \zeta_{104}^{36} - 6 \zeta_{104}^{32} - 2 \zeta_{104}^{28} + 2 \zeta_{104}^{24} + 6 \zeta_{104}^{20} - 2 \zeta_{104}^{16} - 6 \zeta_{104}^{12} - 8 \zeta_{104}^{8} + 2} & \htmlTitle{S_{14; 13}}{-12 \zeta_{104}^{44} - 2 \zeta_{104}^{40} - 8 \zeta_{104}^{36} + 6 \zeta_{104}^{32} - 4 \zeta_{104}^{28} + 4 \zeta_{104}^{24} - 6 \zeta_{104}^{20} + 8 \zeta_{104}^{16} + 2 \zeta_{104}^{12} + 12 \zeta_{104}^{8} + 8} & \htmlTitle{S_{14; 14}}{-4 \zeta_{104}^{44} - 2 \zeta_{104}^{40} - 2 \zeta_{104}^{36} + 2 \zeta_{104}^{32} - 2 \zeta_{104}^{20} + 2 \zeta_{104}^{16} + 2 \zeta_{104}^{12} + 4 \zeta_{104}^{8}} & & \\ \htmlTitle{S_{15; 1}}{-6 \zeta_{104}^{44} + 6 \zeta_{104}^{40} - 8 \zeta_{104}^{36} - 8 \zeta_{104}^{28} + 8 \zeta_{104}^{24} + 8 \zeta_{104}^{16} - 6 \zeta_{104}^{12} + 6 \zeta_{104}^{8} + 14} & \htmlTitle{S_{15; 2}}{-8 \zeta_{104}^{44} - 6 \zeta_{104}^{36} + 2 \zeta_{104}^{32} - 4 \zeta_{104}^{28} + 4 \zeta_{104}^{24} - 2 \zeta_{104}^{20} + 6 \zeta_{104}^{16} + 8 \zeta_{104}^{8} + 8} & \htmlTitle{S_{15; 3}}{10 \zeta_{104}^{44} - 4 \zeta_{104}^{40} + 10 \zeta_{104}^{36} - 2 \zeta_{104}^{32} + 8 \zeta_{104}^{28} - 8 \zeta_{104}^{24} + 2 \zeta_{104}^{20} - 10 \zeta_{104}^{16} + 4 \zeta_{104}^{12} - 10 \zeta_{104}^{8} - 14} & \htmlTitle{S_{15; 4}}{2 \zeta_{104}^{44} - 8 \zeta_{104}^{40} + 6 \zeta_{104}^{36} + 2 \zeta_{104}^{32} + 8 \zeta_{104}^{28} - 8 \zeta_{104}^{24} - 2 \zeta_{104}^{20} - 6 \zeta_{104}^{16} + 8 \zeta_{104}^{12} - 2 \zeta_{104}^{8} - 12} & \htmlTitle{S_{15; 5}}{2 \zeta_{104}^{44} + 6 \zeta_{104}^{40} - 2 \zeta_{104}^{36} - 2 \zeta_{104}^{32} - 4 \zeta_{104}^{28} + 4 \zeta_{104}^{24} + 2 \zeta_{104}^{20} + 2 \zeta_{104}^{16} - 6 \zeta_{104}^{12} - 2 \zeta_{104}^{8} + 6} & \htmlTitle{S_{15; 6}}{-4 \zeta_{104}^{44} + 4 \zeta_{104}^{40} - 6 \zeta_{104}^{36} - 6 \zeta_{104}^{28} + 6 \zeta_{104}^{24} + 6 \zeta_{104}^{16} - 4 \zeta_{104}^{12} + 4 \zeta_{104}^{8} + 10} & \htmlTitle{S_{15; 7}}{8 \zeta_{104}^{44} - 2 \zeta_{104}^{40} + 8 \zeta_{104}^{36} - 2 \zeta_{104}^{32} + 6 \zeta_{104}^{28} - 6 \zeta_{104}^{24} + 2 \zeta_{104}^{20} - 8 \zeta_{104}^{16} + 2 \zeta_{104}^{12} - 8 \zeta_{104}^{8} - 10} & \htmlTitle{S_{15; 8}}{-6 \zeta_{104}^{44} - 4 \zeta_{104}^{40} - 2 \zeta_{104}^{36} + 4 \zeta_{104}^{32} - 4 \zeta_{104}^{20} + 2 \zeta_{104}^{16} + 4 \zeta_{104}^{12} + 6 \zeta_{104}^{8}} & \htmlTitle{S_{15; 9}}{8 \zeta_{104}^{44} + 2 \zeta_{104}^{40} + 4 \zeta_{104}^{36} - 4 \zeta_{104}^{32} + 2 \zeta_{104}^{28} - 2 \zeta_{104}^{24} + 4 \zeta_{104}^{20} - 4 \zeta_{104}^{16} - 2 \zeta_{104}^{12} - 8 \zeta_{104}^{8} - 4} & \htmlTitle{S_{15; 10}}{-6 \zeta_{104}^{40} + 4 \zeta_{104}^{36} + 2 \zeta_{104}^{32} + 6 \zeta_{104}^{28} - 6 \zeta_{104}^{24} - 2 \zeta_{104}^{20} - 4 \zeta_{104}^{16} + 6 \zeta_{104}^{12} - 8} & \htmlTitle{S_{15; 11}}{-2 \zeta_{104}^{44} + 2 \zeta_{104}^{40} - 2 \zeta_{104}^{36} - 2 \zeta_{104}^{28} + 2 \zeta_{104}^{24} + 2 \zeta_{104}^{16} - 2 \zeta_{104}^{12} + 2 \zeta_{104}^{8} + 4} & \htmlTitle{S_{15; 12}}{-12 \zeta_{104}^{44} - 2 \zeta_{104}^{40} - 8 \zeta_{104}^{36} + 6 \zeta_{104}^{32} - 4 \zeta_{104}^{28} + 4 \zeta_{104}^{24} - 6 \zeta_{104}^{20} + 8 \zeta_{104}^{16} + 2 \zeta_{104}^{12} + 12 \zeta_{104}^{8} + 8} & \htmlTitle{S_{15; 13}}{8 \zeta_{104}^{44} + 6 \zeta_{104}^{40} + 2 \zeta_{104}^{36} - 6 \zeta_{104}^{32} - 2 \zeta_{104}^{28} + 2 \zeta_{104}^{24} + 6 \zeta_{104}^{20} - 2 \zeta_{104}^{16} - 6 \zeta_{104}^{12} - 8 \zeta_{104}^{8} + 2} & \htmlTitle{S_{15; 14}}{4 \zeta_{104}^{44} + 2 \zeta_{104}^{40} + 2 \zeta_{104}^{36} - 2 \zeta_{104}^{32} + 2 \zeta_{104}^{20} - 2 \zeta_{104}^{16} - 2 \zeta_{104}^{12} - 4 \zeta_{104}^{8} - 2} & \htmlTitle{S_{15; 15}}{-4 \zeta_{104}^{44} - 2 \zeta_{104}^{40} - 2 \zeta_{104}^{36} + 2 \zeta_{104}^{32} - 2 \zeta_{104}^{20} + 2 \zeta_{104}^{16} + 2 \zeta_{104}^{12} + 4 \zeta_{104}^{8}} & \\ \htmlTitle{S_{16; 1}}{-10 \zeta_{104}^{44} + 10 \zeta_{104}^{40} - 14 \zeta_{104}^{36} - 14 \zeta_{104}^{28} + 14 \zeta_{104}^{24} + 14 \zeta_{104}^{16} - 10 \zeta_{104}^{12} + 10 \zeta_{104}^{8} + 21} & \htmlTitle{S_{16; 2}}{0} & \htmlTitle{S_{16; 3}}{0} & \htmlTitle{S_{16; 4}}{0} & \htmlTitle{S_{16; 5}}{0} & \htmlTitle{S_{16; 6}}{10 \zeta_{104}^{44} - 10 \zeta_{104}^{40} + 14 \zeta_{104}^{36} + 14 \zeta_{104}^{28} - 14 \zeta_{104}^{24} - 14 \zeta_{104}^{16} + 10 \zeta_{104}^{12} - 10 \zeta_{104}^{8} - 21} & \htmlTitle{S_{16; 7}}{0} & \htmlTitle{S_{16; 8}}{0} & \htmlTitle{S_{16; 9}}{0} & \htmlTitle{S_{16; 10}}{0} & \htmlTitle{S_{16; 11}}{10 \zeta_{104}^{44} - 10 \zeta_{104}^{40} + 14 \zeta_{104}^{36} + 14 \zeta_{104}^{28} - 14 \zeta_{104}^{24} - 14 \zeta_{104}^{16} + 10 \zeta_{104}^{12} - 10 \zeta_{104}^{8} - 21} & \htmlTitle{S_{16; 12}}{0} & \htmlTitle{S_{16; 13}}{0} & \htmlTitle{S_{16; 14}}{0} & \htmlTitle{S_{16; 15}}{0} & \htmlTitle{S_{16; 16}}{-10 \zeta_{104}^{44} + 10 \zeta_{104}^{40} - 14 \zeta_{104}^{36} - 14 \zeta_{104}^{28} + 14 \zeta_{104}^{24} + 14 \zeta_{104}^{16} - 10 \zeta_{104}^{12} + 10 \zeta_{104}^{8} + 21}\end{array}\right) \]

Central Charge

\[c = 16 \]